Methods Flash Cards

Quadratic formula

Closed interval

Open interval

Infinite

Equation of a straight line

General equation of a conic

Ellipse equation in standard form

Ellipse equation in parametric form

Hyperbola equation in standard form

Hyperbola equation in parametric form

Parabola in standard form

Parabola in hyperbolic form

Definition of the domain

Definition of the codomain

Definition of the range

Definition of a one-to-one function

Definition of an even function

Definition of an odd function

Definition of a periodic function

Monotonically increasing

Monotonically decreasing

Composite function

Inverse function

Conditions for a function f(x) to be continuous at c

nth term of an arithmetic sequence

nth term of a geometric sequence

Sum/difference rule

Product rule

Quotient rule

Sandwich theorem

Sum of n terms of an arithmetic series

Sum to n terms of a geometric series

Sum to infinity of a geometric series

Properties of convergent series

Divergence test

Comparison test

Ratio test

Leibniz' theorem

Absolute convergence

Formal definition of a derivative

Product rule

Quotient rule

Chain rule

Second derivative chain rule

Leibniz rule for repeated differentiation of products

The linearization of f(x) at x=a

Extreme value theorem of continuous functions

Concave function f

Convex function f

Point of inflexion

L'Hôpital's rule (for functions)

Intermediate Value Theorem

Rolle's Theorem

The Mean Value Theorem

Constant Difference Theorem

Maclaurin series

Taylor series

Remainder term, Taylor's theorem

Remainder estimation

Scalar product

Vector product

Equation of a line (vectors)

Equation of a plane (vectors)